The lengths of the sides of the triangle are related as 3: 4: 5 if the difference between

The lengths of the sides of the triangle are related as 3: 4: 5 if the difference between its largest and smallest sides is 12 cm find the perimeter of the triangle.

Let’s find how many units – parts the smaller side differs from the largest:

1) 5 – 3 = 2 (h.)

Because in absolute terms, this difference is 12 cm, which means that each part accounts for:

2) 12/2 = 6 (cm).

Find the smaller side that matches the 3 parts:

3) 6 * 3 = 18 (cm).

The second side has a length corresponding to 4 parts:

4) 6 * 4 = 24 (cm).

And the third side has a length that matches 5 parts:

5) 6 * 5 = 30 (cm).

Accordingly, the perimeter will be equal to:

6) 18 + 24 + 30 = 72 (cm).

Answer: the perimeter of the triangle is 72 cm.